To find the area of the trapezoid, we first need to find the height (h) of the trapezoid.

We can use the Pythagorean theorem to find the height. Since the trapezoid ABCD is a right trapezoid (right angles at B and D), we can use the following relationship:

BC^2 = CD^2 + h^2
14^2 = 8^2 + h^2
196 = 64 + h^2
h^2 = 132
h ≈ 11.49

Now we can calculate the area of the trapezoid using the formula:

Area = (1/2) (BC + CD) h
Area = (1/2) (14 + 8) 11.49
Area = (1/2) 22 11.49
Area = 126.39 cm^2

Therefore, the area of the trapezoid is approximately 126.39 cm^2.